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no tricks when proving associativity of min #168

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no tricks when proving associativity of min #168

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8 changes: 6 additions & 2 deletions MIL/C02_Basics/S04_More_on_Order_and_Divisibility.lean
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Expand Up @@ -131,7 +131,6 @@ whether or not you use these tricks,
we encourage you to prove the following:
TEXT. -/
-- QUOTE:
-- BOTH:
example : max a b = max b a := by
/- EXAMPLES:
sorry
Expand All @@ -141,8 +140,13 @@ SOLUTIONS: -/
apply max_le
apply le_max_right
apply le_max_left
-- QUOTE.

-- BOTH:
/- TEXT:
There is no obvious way to shorten the proof of the following theorem with the mentioned tricks.
At the very least, try using dots or the ``show`` tactic to structure the proof you found:
TEXT. -/
-- QUOTE:
example : min (min a b) c = min a (min b c) := by
/- EXAMPLES:
sorry
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